Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 861/12, 550/98, 423/374 quickly i.e. 33385275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 861/12, 550/98, 423/374 is 33385275.
LCM(861/12, 550/98, 423/374) = 33385275
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 861/12,550/98,423/374
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 861,550,423
Least Common Multiple of Numerators i.e. LCM of 861,550,423 is 66770550.
GCF of Denominators means GCF of 12,98,374 as per the given fractions.
GCF of 12,98,374 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 861,550,423
3 | 861, 550, 423 |
287, 550, 141 |
∴ So the LCM of the given numbers is 3 x 287 x 550 x 141 = 66770550
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 861,550,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,550,423) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(861,550,423) x common factors =1 x 3 = 3
LCM(861,550,423) = ( 861 × 550 × 423 ) / 3
LCM(861,550,423) = 200311650 / 3
LCM(861,550,423) = 66770550
Lets's calculate GCF of 12,98,374
2 | 12, 98, 374 |
6, 49, 187 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66770550/2
Therefore the LCM of Fractions 861/12,550/98,423/374 is 33385275
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 12,98,374 . The biggest common factor number is the GCF number.
So the greatest common factor 12,98,374 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 861/12, 550/98, 423/374?
Answer: LCM of Numerators as per given numbers 861/12, 550/98, 423/374 is
LCM of Numerators i.e. for 861,550,423 is 66770550
GCF of denominators i.e. for 12,98,374 is 2.
Thus, LCM of Fractions is 33385275.Finally, LCM of Fractions for 861/12, 550/98, 423/374 is 33385275.